CUET Mathematics - Let A = bmatrix 1 & & 1 \\ - & 1 & \\ -1 & - & 1 bmatrix, where 0 ≤ ≤ 2. Then which of the following are true? (A) |A| = 2 + 2 ^2 (B) |A| = 2 + ^2 (C) minimum value of |A| is 1 (D) maximum value of |A| is 4 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Hard

core

(A) and (D) only

(A), (B) and (C) only

(B), (C) and (D) only

✅ Correct Option: 1

Related questions:

21 May Shift 1

Let the matrix $A = \begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix}$ . Then which of the following are true?

(A) adj $A = \begin{bmatrix} 4 & -3 \\ -1 & 2 \end{bmatrix}$

(B) det $(A) = 5$

(D) If $A^3 = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$ , then $a + b = c + d$

Choose the correct answer from the options given below:

29 May Shift 2

The system of equations

$x - 3y - 8z = -10$

$2x + 5y + \lambda z = 13$

$3x + y - 4z = 0$

has infinite number of solutions if the value of $\lambda$ is equal to:

21 May Shift 2

The system of linear equations $kx + 5y = 5$ , $2x + 3y = 5$ will be consistent if

CUET Mathematics 2025 13 May Shift 1 PYQs